School of Mathematical and Statistical Sciences

Computational and Applied Math Proseminar

Friday, February 18, 12:00 p.m. PSA 113

Bruno Welfert

School of Mathematical and Statistical Sciences

Absorbing Boundary Conditions for Wave Problems:
A Review of current Practices and future Perspectives

Abstract Wave propagation problems posed in large or infinite physical domains must be truncated (for practical reasons). New boundary conditions must be imposed on the boundary of the truncated domain, and must be as transparent, or absorbing, as possible to prevent outgoing waves from being reflected and contaminate the solution within the truncated domain.

In this talk we review past and current techniques used to obtain appropriate absorbing boundary conditions (ABCs), as well as their effectiveness on a model problem. We also discuss preliminary investigations into new directions to further improve the effectiveness of current ABCs. This is joint work with Prof. Z. Jackiewicz (Math, ASU)